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Finding the Fourth Proportional to 318.34, 439.18 and 200.26

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Solution

The fourth proportional to 318.34, 439.18 and 200.26 is: 276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.34 : 439.18 = 200.26 : x
  2. Step 2: Convert to fraction form
    318.34/439.18 = 200.26/x
  3. Step 3: Cross multiply
    318.34x = 439.18 × 200.26
  4. Step 4: Simplify right side
    318.34x = 87,948.59
  5. Step 5: Solve for x
    x = 87,948.59/318.34
  6. Step 6: Final answer
    x = 276.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.